Ground-state phase diagram and universality of sequential topological valence-bond-solid quantum transitions in a mixed tetramer chain
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Published:2024-01-23
Issue:16
Volume:36
Page:165802
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ISSN:0953-8984
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Container-title:Journal of Physics: Condensed Matter
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language:
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Short-container-title:J. Phys.: Condens. Matter
Author:
Veríssimo Luan MORCID,
Pereira Maria S S,
Strečka JozefORCID,
Lyra Marcelo LORCID
Abstract
Abstract
The ground-state ordering of a quantum mixed-spin Heisenberg tetramer chain composed of an alternate sequence of s = 1 and
S
=
3
/
2
dimers is studied in detail as a function of two considered exchange interactions ascribed to similar and dissimilar spin pairs. At zero magnetic field, the ferrimagnetic mixed spin-(1, 1, 3/2, 3/2) Heisenberg tetramer chain displays, depending on a mutual interplay between two considered exchange interactions, three distinct gapped valence-bond-solid phases separated by gap-closing quantum critical points. Using density-matrix renormalization group calculations we construct the full ground-state phase diagram as a function of the interaction ratio and magnetic field, which exhibits besides three gapped valence-bond-solid phases special Kosterlitz–Thouless and topological quantum critical points. A tangential finite-size scaling analysis is employed to obtain precise estimates of the zero-field valence-bond-solid transitions and unveil their common logarithmic correction to a power-law scaling of the correlation length.
Funder
Fundação de Amparo à Pesquisa do Estado de Alagoas
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Subject
Condensed Matter Physics,General Materials Science